Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	234×	body	80	valid
1.0ms	8×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify196.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	40	7
5	45	7
6	49	7
7	58	7
8	74	7
9	90	7
10	101	7
11	103	7
12	107	7
13	108	7
done	108	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

30.0ms

(+ x (/ (- x y) 2.0))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(+ x (/ (- x y) 2.0))

simplify2.5s

Counts

21 → 21

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	36	194
1	98	186
2	263	172
3	750	172
4	3556	171
done	5000	171

prune90.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ x 2.0))
0.0b	(- (+ x (/ x 2.0)) (/ y 2.0))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
52×	`prod-diff`
50×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
37×	`times-frac`
16×	`distribute-lft-out`
9×	`add-log-exp`
4×	`fma-neg` `div-inv`
3×	`fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

2 → 95

Calls

2 calls:

20.0ms	(+ x (/ x 2.0))
222.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))

series86.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (/ x 2.0))
60.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))

simplify3.9s

Counts

101 → 101

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	186	2913
1	454	2599
2	1271	1877
3	4993	1424
done	5000	1424

prune169.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

21.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt x) (cbrt x))
246.0ms	(cbrt x)
261.0ms	(cbrt x)
257.0ms	(cbrt x)

simplify5.0s

Counts

93 → 93

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune352.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

105.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
14.0ms	(cbrt (+ x (/ x 2.0)))
9.0ms	(cbrt (+ x (/ x 2.0)))
9.0ms	(cbrt (+ x (/ x 2.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

345.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
309.0ms	(cbrt (+ x (/ x 2.0)))
312.0ms	(cbrt (+ x (/ x 2.0)))
311.0ms	(cbrt (+ x (/ x 2.0)))

simplify2.7s

Counts

115 → 115

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	94	1680
1	184	1527
2	440	1441
3	1009	1312
4	3106	1286
done	5001	1235

prune394.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9
done	8	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

716.0ms	7382×	body	80	valid
27.0ms	203×	body	1280	valid
19.0ms	154×	body	640	valid
18.0ms	110×	body	2560	valid
8.0ms	94×	body	320	valid
4.0ms	62×	body	160	valid